6.451 Principles of Digital Communication II, Spring 2003

Forney, G. David

Author(s)

Forney, G. David

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Alternative title

Principles of Digital Communication II

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Abstract

Coding for the AWGN channel; block and convolutional codes; lattice and trellis codes; capacity-approaching codes; equalization of linear Gaussian channels; linear, decision-feedback, and MLSD equalization; precoding; multicarrier modulation; and topics in wireless communication. Description from the course home page: This course is the second of a two-term sequence with 6.450. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of 6.450 and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-decision decoding. It continues with binary linear block codes, Reed-Muller codes, finite fields, Reed-Solomon and BCH codes, binary linear convolutional codes, and the Viterbi algorithm. More advanced topics include trellis representations of binary linear block codes and trellis-based decoding; codes on graphs; the sum-product and min-sum algorithms; the BCJR algorithm; turbo codes, LDPC codes and RA codes; and performance of LDPC codes with iterative decoding. Finally, the course addresses coding for the bandwidth-limited regime, including lattice codes, trellis-coded modulation, multilevel coding and shaping. If time permits, it covers equalization of linear Gaussian channels.

Date issued

2003-06

URI

http://hdl.handle.net/1721.1/36834

Department

Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science

Other identifiers

6.451-Spring2003

local: 6.451

local: IMSCP-MD5-7b3d320cf570ec10712dab3722572ec0

Keywords

coding techniques, the Shannon limit of additive white Gaussian noise channels, Small signal constellations, performance analysis, coding gain, Hard-decision and soft-decision decoding, Introduction to binary linear block codes, Reed-Muller codes, finite fields, Reed-Solomon and BCH codes, binary linear convolutional codes, Viterbi and BCJR algorithms, Trellis representations of binary linear block codes, trellis-based ML decoding, Codes on graphs, sum-product, max-product, decoding algorithms, Turbo codes, LDPC codes and RA codes, Coding for the bandwidth-limited regime, Lattice codes, Trellis-coded modulation, Multilevel coding, Shaping

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Electrical Engineering and Computer Science (6) -